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If the same number is subtracted from both the numerator and the denominator of 9/11, the result is 1/2. Find the number. What would the equation be?

If the same number is subtracted from both the numerator and the denominator of 9/11, the-example-1
User Gauri
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1 Answer

15 votes
15 votes

Solution

Let the number be x

The equation is


(9-x)/(11-x)=(1)/(2)
\begin{gathered} \Rightarrow2(9-x)=11-x \\ \\ \Rightarrow18-2x=11-x \\ \\ \Rightarrow18-11=-x+2x \\ \\ \Rightarrow x=7 \end{gathered}

Therefore, the number is 7

User Gene T
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